Silantyev, Alexey Manin matrices of type \(C\): multi-parametric deformation. (English) Zbl 1521.17032 J. Geom. Phys. 177, Article ID 104523, 8 p. (2022). MSC: 17B37 PDFBibTeX XMLCite \textit{A. Silantyev}, J. Geom. Phys. 177, Article ID 104523, 8 p. (2022; Zbl 1521.17032) Full Text: DOI arXiv
Bonahon, Francis Miraculous cancellations for quantum \(\mathrm{SL}_2\). (English. French summary) Zbl 1432.81043 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 3, 523-557 (2019). MSC: 81R50 17B37 16T05 PDFBibTeX XMLCite \textit{F. Bonahon}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 3, 523--557 (2019; Zbl 1432.81043) Full Text: DOI arXiv
Jing, Naihuan; Kožić, Slaven; Molev, Alexander; Yang, Fan Center of the quantum affine vertex algebra in type \(A\). (English) Zbl 1432.17014 J. Algebra 496, 138-186 (2018). MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{N. Jing} et al., J. Algebra 496, 138--186 (2018; Zbl 1432.17014) Full Text: DOI arXiv
Molev, A. I.; Mukhin, E. E. Eigenvalues of Bethe vectors in the Gaudin model. (English. Russian original) Zbl 1382.81100 Theor. Math. Phys. 192, No. 3, 1258-1281 (2017); translation from Teor. Mat. Fiz. 192, No. 3, 369-394 (2017). MSC: 81Q10 81Q40 17B69 35P05 PDFBibTeX XMLCite \textit{A. I. Molev} and \textit{E. E. Mukhin}, Theor. Math. Phys. 192, No. 3, 1258--1281 (2017; Zbl 1382.81100); translation from Teor. Mat. Fiz. 192, No. 3, 369--394 (2017) Full Text: DOI arXiv
Futorny, Vyacheslav; Molev, Alexander Quantization of the shift of argument subalgebras in type \(A\). (English) Zbl 1376.17017 Adv. Math. 285, 1358-1375 (2015). MSC: 17B35 17B20 17B67 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{A. Molev}, Adv. Math. 285, 1358--1375 (2015; Zbl 1376.17017) Full Text: DOI arXiv
Chervov, A.; Falqui, G.; Rubtsov, V.; Silantyev, A. Algebraic properties of Manin matrices. II: \(q\)-analogues and integrable systems. (English) Zbl 1314.15020 Adv. Appl. Math. 60, 25-89 (2014). MSC: 15B33 05A19 05A30 15A15 16T20 17B37 20G42 81R50 PDFBibTeX XMLCite \textit{A. Chervov} et al., Adv. Appl. Math. 60, 25--89 (2014; Zbl 1314.15020) Full Text: DOI arXiv
Foata, Dominique; Han, Guo-Niu A basis for the right quantum algebra and the “\(1= q\)” principle. (English) Zbl 1145.05004 J. Algebr. Comb. 27, No. 2, 163-172 (2008). Reviewer: Carsten Schneider (Linz) MSC: 05A30 05A19 16W35 17B37 PDFBibTeX XMLCite \textit{D. Foata} and \textit{G.-N. Han}, J. Algebr. Comb. 27, No. 2, 163--172 (2008; Zbl 1145.05004) Full Text: DOI arXiv
Konvalinka, Matjaž; Pak, Igor Non-commutative extensions of the MacMahon Master Theorem. (English) Zbl 1154.81018 Adv. Math. 216, No. 1, 29-61 (2007). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 81R50 05A30 81S05 05A15 17B37 81R60 22E70 PDFBibTeX XMLCite \textit{M. Konvalinka} and \textit{I. Pak}, Adv. Math. 216, No. 1, 29--61 (2007; Zbl 1154.81018) Full Text: DOI arXiv
Foata, Dominique; Han, Guo-Niu Specializations and extensions of the quantum MacMahon master theorem. (English) Zbl 1115.05007 Linear Algebra Appl. 423, No. 2-3, 445-455 (2007). MSC: 05A19 05A30 16W35 17B37 PDFBibTeX XMLCite \textit{D. Foata} and \textit{G.-N. Han}, Linear Algebra Appl. 423, No. 2--3, 445--455 (2007; Zbl 1115.05007) Full Text: DOI arXiv
Lauve, Aaron; Taft, Earl J. A class of left quantum groups modeled after \(\text{SL}_q(n)\). (English) Zbl 1125.16028 J. Pure Appl. Algebra 208, No. 3, 797-803 (2007). Reviewer: Serban Raianu (Carson) MSC: 16W30 16W35 17B37 20G42 PDFBibTeX XMLCite \textit{A. Lauve} and \textit{E. J. Taft}, J. Pure Appl. Algebra 208, No. 3, 797--803 (2007; Zbl 1125.16028) Full Text: DOI arXiv
Garoufalidis, Stavros; Lê, Thang T. Q.; Zeilberger, Doron The quantum MacMahon master theorem. (English) Zbl 1170.05012 Proc. Natl. Acad. Sci. USA 103, No. 38, 13928-13931 (2006). Reviewer: Qi Chen (Winston-Salem) MSC: 05A30 17B37 33D15 57M27 81R50 81S05 PDFBibTeX XMLCite \textit{S. Garoufalidis} et al., Proc. Natl. Acad. Sci. USA 103, No. 38, 13928--13931 (2006; Zbl 1170.05012) Full Text: DOI arXiv